Two different self-adjoint Pauli extensions describing a spin-1/2 two-dimensional quantum system with singular magnetic field are studied. An Aharonov-Casher type formula is proved for the maximal Pauli extension and the possibility of approximation of the two different self-adjoint extensions by operators with regular magnetic fields is investigated.
Submitted February 17, 2005. Published May 24, 2005.
Math Subject Classifications: 81Q10, 35Q40, 47F05.
Key Words: Schrodinger operators; spectral analysis.
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| Mikael Persson |
Department of Mathematical Sciences, Division of Mathematics
Chalmers University of Technology and Göoteborg University
412 96 Göteborg, Sweden
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